“…Micro-nano elements are extensively used in tiny bio-structural and mechanical applications (Pandey et al 2009,Feng et al 2012,Murmu and Adhikari 2012,Xiao et al 2017. Micro-nanomechanical resonators that can reach to very high frequencies up to GHz (Husain et al 2003,Huang et al 2005,Baghelani 2016 are very important types of these elements highlighted due to their exemplary characteristics. In order to tune the resonators for better sensing performance, one should recognize their dynamic characteristics, carefully (Ekinci et al 2004,Braun et al 2005,Tajaddodianfar et al 2017.…”